No, no and NO!! I like Jude Law, but he's totally wrong for Bond. It is true that Moore was Flemmings first choice for Bond, but mercifully he was unavailable when they made Dr No. I doubt they would have made more than 2 or 3 films if Moore had won the role, back then.
Interestingly, Timothy Dalton was actually offered the role in On Her Majesty's Secret Service, back when Connery first walked. But he rightly felt he was too young for the role. And although it will probably draw JsARC's ire, I actually felt Dalton was pretty good in the role. He was certainly a lot closer to Flemming's Bond than Moore was.
And Brosnan? He's good, but the major failing of his recent movies has been the script. The writing has been atrocious! EXO is right about the Broccolis. They need to be put out to pasture. Heck, they can put them in the same field as Berman and Braga. If they could give Brosnan just one more flick, but with a GOOD script, then I feel we'd have something memorable.
So who do I like to replace Brosnan? To be honest, I don't know. I say they pick an unknown.